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Integers: BCD |
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Since people think in decimal, it may be
convenient to use a decimal-like representation. |
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Binary coded decimal (BCD) uses unsigned binary
to represent each decimal digit. |
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How many bits are needed? |
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4 bits per decimal digit: ceil (lg 10) = 4 |
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Since 4 bits can represent 16 values, 6 values
are unused for every digit. |
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Advantages |
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Decimal input/output doesn't require
complicated conversion. |
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Fewer problems with repeating fractions. |
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Some early computers used BCD representation,
and many calculators still use BCD. |
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Example: |
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Represent 1739ten in BCD: |
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decimal |
1 |
7 |
3 |
9 |
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BCD |
0001 |
0111 |
0011 |
1001 |
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Since calculators can be much slower than
computers, they can use hardware which |
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operates on 4 bits at a time. |
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Negative values are represented using 10's
complement (similar to 2C). |
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